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Simplifying 6(x + 2) = 3(5x + 1) Reorder the terms: 6(2 + x) = 3(5x + 1) (2 * 6 + x * 6) = 3(5x + 1) (12 + 6x) = 3(5x + 1) Reorder the terms: 12 + 6x = 3(1 + 5x) 12 + 6x = (1 * 3 + 5x * 3) 12 + 6x = (3 + 15x) Solving 12 + 6x = 3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 12 + 6x + -15x = 3 + 15x + -15x Combine like terms: 6x + -15x = -9x 12 + -9x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -9x = 3 + 0 12 + -9x = 3 Add '-12' to each side of the equation. 12 + -12 + -9x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 3 + -12 -9x = 3 + -12 Combine like terms: 3 + -12 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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